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Global existence and uniqueness of weak solution to nonlinear viscoelastic full Marguerre-von Kármán shallow shell equations

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Abstract

By Galerkin finite element method, we show the global existence and uniqueness of weak solution to the nonlinear viscoelastic full Marguerre-von Kármán shallow shell equations.

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Authors and Affiliations

  1. School of Mathematical Sciences, Qufu Normal University, Qufu, 273165, P. R. China

    Fu Shan Li

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  1. Fu Shan Li
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Correspondence to Fu Shan Li.

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Supported by National Natural Science Foundation of China (Grant No. 10871116), the Natural Science Foundation of Shandong Province of China (Grant No. Q2008A08) and Foundation of Qufu Normal University for Ph.D

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Li, F.S. Global existence and uniqueness of weak solution to nonlinear viscoelastic full Marguerre-von Kármán shallow shell equations. Acta. Math. Sin.-English Ser. 25, 2133–2156 (2009). https://doi.org/10.1007/s10114-009-7048-4

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